Question
Find the approximate values of:
$\tan \left(45^{\circ} 40^{\circ}\right)$, given that $1^{\circ}=0.0175^{\circ}$.
$\tan \left(45^{\circ} 40^{\circ}\right)$, given that $1^{\circ}=0.0175^{\circ}$.
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If u and v are two functions of x then prove that
$\int u v d x=u \int v d x-\int\left[d \frac{u}{d x} \int v d x\right] d x$
Hence evaluate, $\int x e^x d x$
$\left|\begin{array}{lll}1 & 3 & 6 \\ 6 & 1 & 4 \\ 3 & 7 & 12\end{array}\right|+4\left|\begin{array}{lll}2 & 3 & 3 \\ 2 & 1 & 2 \\ 1 & 7 & 6\end{array}\right|=10\left|\begin{array}{lll}1 & 2 & 1 \\ 3 & 1 & 7 \\ 3 & 2 & 6\end{array}\right|$